| 二元关系的复合与近似算子的合成 |
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| 引用本文： | 徐优红.二元关系的复合与近似算子的合成[J].计算机科学,2009,36(2):194-198. |
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| 作者姓名： | 徐优红 |
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| 作者单位： | 浙江海洋学院数理与信息学院,舟山,316004 |
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| 基金项目： | 国家自然科学基金，浙江省自然科学基金，浙江省教育厅科学研究计划 |
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| 摘 要： | 定义了各种类型的经典二元关系和模糊二元关系,讨论了二元关系的合成及其性质.给出了两个近似空间合成的概念,并讨论合成前的近似空间所导出的近似算子与合成后的近似空间所导出的近似算子之间的关系.证明了合成后的近似空间所导出的近似算子恰好是两个近似空间所导出的近似算子的合成.
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| 关 键 词： | 二元关系 近似空间 近似算子 粗糙集 |
| 收稿时间： | 2008/5/21 0:00:00 |
On Compounds of Binary Relations and Compositions of Approximation Operators |
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| XU You-hong.On Compounds of Binary Relations and Compositions of Approximation Operators[J].Computer Science,2009,36(2):194-198. |
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| Authors: | XU You-hong |
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| Affiliation: | School of Mathematics;Physics;and Information Science;Zhejiang Ocean University;Zhoushan 316004;China |
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| Abstract: | Concepts of various types of crisp binary relations as well as fuzzy binary relations were defined,compounds of binary relations were investigated and their properties were examined.Compositions of approximation spaces and app-roximation operators were also defined.The relationship between approximation operators derived from two approximation spaces and the ones from the compound approximation spaces was investigated.It was proved that approximation operators induced from a compound of two approximation sp... |
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| Keywords: | Binary relations Approximation spaces Approximation operators Rough sets |
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